What is the 9616th prime number?
The 9616th prime number is 100313. The next prime is 100333 (a gap of 20) and the one before is 100297.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9616th one is 100313.
- 2
100313 is prime because no prime up to ā100313 ā 316.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9616th prime is close to 9616 Ć ln(9616) ā 88190, and here it is 100313.
- 4
100313 has no twin: neither 100311 nor 100315 is prime.
Primes around the 9616th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9613 | 100279 | 8 |
| 9614 | 100291 | 12 |
| 9615 | 100297 | 6 |
| 9616 | 100313 | 16 |
| 9617 | 100333 | 20 |
| 9618 | 100343 | 10 |
| 9619 | 100357 | 14 |
Questions
What is the 9616th prime number?
100313.
Which prime number is 100313?
100313 is the 9616th prime number.
What is the sum of the first 9616 primes?
456,800,531.